16j^2+24j+9=0

Solution for 16j^2+24j+9=0 equation:

Simplifying
16j2 + 24j + 9 = 0

Reorder the terms:
9 + 24j + 16j2 = 0

Solving
9 + 24j + 16j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(3 + 4j)(3 + 4j) = 0

Subproblem 1
Set the factor '(3 + 4j)' equal to zero and attempt to solve:

Simplifying
3 + 4j = 0

Solving
3 + 4j = 0

Move all terms containing j to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 4j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4j = 0 + -3
4j = 0 + -3

Combine like terms: 0 + -3 = -3
4j = -3

Divide each side by '4'.
j = -0.75

Simplifying
j = -0.75
Subproblem 2
Set the factor '(3 + 4j)' equal to zero and attempt to solve:

Simplifying
3 + 4j = 0

Solving
3 + 4j = 0

Move all terms containing j to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 4j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4j = 0 + -3
4j = 0 + -3

Combine like terms: 0 + -3 = -3
4j = -3

Divide each side by '4'.
j = -0.75

Simplifying
j = -0.75
Solution
j = {-0.75, -0.75}